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Finding the Fourth Proportional to 2,770.92, 4,143.60 and 2,032.74

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Solution

The fourth proportional to 2,770.92, 4,143.60 and 2,032.74 is: 3,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.92 : 4,143.60 = 2,032.74 : x
  2. Step 2: Convert to fraction form
    2,770.92/4,143.60 = 2,032.74/x
  3. Step 3: Cross multiply
    2,770.92x = 4,143.60 × 2,032.74
  4. Step 4: Simplify right side
    2,770.92x = 8,422,861.46
  5. Step 5: Solve for x
    x = 8,422,861.46/2,770.92
  6. Step 6: Final answer
    x = 3,039.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.